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Finding the Fourth Proportional to 3,046.28, 4,569.55 and 855.16

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Solution

The fourth proportional to 3,046.28, 4,569.55 and 855.16 is: 1,282.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.28 : 4,569.55 = 855.16 : x
  2. Step 2: Convert to fraction form
    3,046.28/4,569.55 = 855.16/x
  3. Step 3: Cross multiply
    3,046.28x = 4,569.55 × 855.16
  4. Step 4: Simplify right side
    3,046.28x = 3,907,682.82
  5. Step 5: Solve for x
    x = 3,907,682.82/3,046.28
  6. Step 6: Final answer
    x = 1,282.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.